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ID:30750027
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时间:2019-01-03
《2005年全国硕士研究生入学考试数学考试大纲-网易》由会员上传分享,免费在线阅读,更多相关内容在工程资料-天天文库。
1、2005年全国硕士研究生入学考试数学考试大纲-网易Thenationalpostgraduateentranceexaminationin2005ThemaththreeexamoutlineExamcourseCalculus,linearalgebra,probabilitytheoryandmathematicalstatisticsDifferentialandintegralcalculusThefunction,thelimit,thecontinuousExamcontentFunctionoftheconceptandrepresentatio
2、noffunctionboundedness,monotonicity,cyclicalandparitycompositefunction,theinversefunction,andthepiecewisefunctionandimplicitfunction,thenatureofbasicelementaryfunctionanditsgraphicsElementaryfunctionsimpleapplicationofproblemfunctionrelationshipThedefinitionandnatureofthefunctionand
3、functionlimitofsequencelimitpointoftheleftandrightlimitInfinitesimalandinfinityconceptsandtheirrelationshipsofthenatureandthecomparisonofinfinitesimallimitofinfinitesimalarithmeticoftwooftheexistenceoflimitrules(ruleofmonotoneboundedandtheruleofclampforce)Twoimportantlimits:Theprope
4、rtiesofcontinuousfunctiononthecontinuousclosedintervalofthefunctionofthecontinuousfunctionofthefunctionTestrequirements1.Understandtheconceptoffunctions,mastertherepresentationoffunctions,andestablishfunctionalrelationshipsinsimpleapplicationproblems・2.Understandtheboundedness,monot
5、ony,periodicityandparityoffunctions・3.Understandtheconceptofcomplexfunctionsandsegmentedfunctions.Understandtheconceptofinversefunctionsandimplicitfunctions・4.Graspthenatureofelementaryfunctionanditsgraph,understandtheconceptofelementaryfunction.5.Knowthelimitoftheseriesandthelimito
6、fthefunction(includingtheleftlimitandtherightlimit)・6.Understandtheconceptofinfinitesimalandbasicproperties.Themethodofcomparingtheinfinitesima1.Understandtheconceptofinfinityanditsrelationshipwithinfinitesima1.7.Tounderstandthenatureofthelimitandthetworulesofthelimit,thefouralgorit
7、hmsthatgraspthelimitapplytwoimportantlimits.8.Tounderstandtheconceptofcontinuityoffunctions(bothleftandrightconsecutively),thetypesofdiscretepointsoffunctionsarediscriminated.1.Tounderstandthenatureofthecontinuousfunctionandthecontinuityofelementaryfunction,tounderstandthenatureofth
8、econtinuousfunction
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